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1.6 The Coordinate Plane

1.6 The Coordinate Plane. Chapter 1 Tools of Geometry. 1.6 The Coordinate Plane. (x, y) is an ordered pair or a coordinate of a point. y-axis. Quadrant I. Quadrant II. (+,+). (-,+). (0,0) origin. x-axis. Quadrant IV. Quadrant III. (+,-). (-,-). The Distance Formula.

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1.6 The Coordinate Plane

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  1. 1.6 The Coordinate Plane Chapter 1 Tools of Geometry

  2. 1.6 The Coordinate Plane (x, y) is an ordered pair or a coordinate of a point y-axis Quadrant I Quadrant II (+,+) (-,+) (0,0) origin x-axis Quadrant IV Quadrant III (+,-) (-,-)

  3. The Distance Formula d = √ (x2 – x1)2 + (y2 – y1)2 The distance between two points (x, y) and (x, y)

  4. Finding Distance Find the distance between T(5,2) and R(-4,-1) to the nearest tenth.

  5. Finding Distance Find the distance between A(1, -3) and B (-4, 4) to the nearest tenth.

  6. The Midpoint Formula ( ) M = x + x, y + y 2 2 Midpoint is the center of the line segment.

  7. Finding the Midpoint QS has endpoints Q (3, 5) and S(7, -9). Find the coordinates of Midpoint M.

  8. Finding the Midpoint XY has endpoints X (2, -5) and Y(6, 13). Find the coordinates of Midpoint M.

  9. Finding an Endpoint The midpoint of AB is M(3, 4). One endpoint is A(-3, -2). Find the coordinates of the other endpoint B. ( ) M = x + x, y + y 22

  10. Finding an Endpoint The midpoint of XY is M(4, -6). One endpoint is O(2, -3). Find the coordinates of the other endpoint P. ( ) M = x + x, y + y 22

  11. Homework Pg 46 1-31

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